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400026857472 = 21233111723292
BaseRepresentation
bin1011101001000110111…
…01010111000000000000
31102020112120002212112000
411310203131113000000
523023223333414342
6503434135504000
740621016120454
oct5644335270000
91366476085460
10400026857472
11144717806860
1265640228000
132b951082b38
141550b994664
15a613e5144c
hex5d23757000

400026857472 has 1248 divisors, whose sum is σ = 1479381096960. Its totient is φ = 105366159360.

The previous prime is 400026857411. The next prime is 400026857473. The reversal of 400026857472 is 274758620004.

It is a happy number.

400026857472 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 2 + 6 + 8 + 574 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400026857473) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13794029554 + ... + 13794029582.

It is an arithmetic number, because the mean of its divisors is an integer number (1185401520).

Almost surely, 2400026857472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400026857472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739690548480).

400026857472 is an abundant number, since it is smaller than the sum of its proper divisors (1079354239488).

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

400026857472 is a wasteful number, since it uses less digits than its factorization.

400026857472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 400026857472 in words is "four hundred billion, twenty-six million, eight hundred fifty-seven thousand, four hundred seventy-two".