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1425600474480 = 243257131719314153
BaseRepresentation
bin10100101111101100011…
…010001110110101110000
312001021201112210122102100
4110233230122032311300
5141324112210140410
63010524541420400
7204665465044620
oct24575432166560
95037645718370
101425600474480
114aa659336716
121b035a86a700
13a4583673c20
144cddc620880
152713a8e58c0
hex14bec68ed70

1425600474480 has 3840 divisors, whose sum is σ = 7075707125760. Its totient is φ = 248433868800.

The previous prime is 1425600474409. The next prime is 1425600474523. The reversal of 1425600474480 is 844740065241.

1425600474480 is a `hidden beast` number, since 1 + 4 + 2 + 560 + 0 + 4 + 7 + 4 + 4 + 80 = 666.

It is a super-2 number, since 2×14256004744802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 26898122134 + ... + 26898122186.

It is an arithmetic number, because the mean of its divisors is an integer number (1842632064).

Almost surely, 21425600474480 is an apocalyptic number.

1425600474480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1425600474480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537853562880).

1425600474480 is an abundant number, since it is smaller than the sum of its proper divisors (5650106651280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1425600474480 is a wasteful number, since it uses less digits than its factorization.

1425600474480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 1425600474480 in words is "one trillion, four hundred twenty-five billion, six hundred million, four hundred seventy-four thousand, four hundred eighty".