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42612625440 = 2532571119113179
BaseRepresentation
bin100111101011111010…
…010001000000100000
311001222202011122211200
4213223322101000200
51144232313003230
631324224241200
73035660224410
oct475372210040
9131882148750
1042612625440
1117087797220
128312a70200
134031426088
1420c3578640
15119605d160
hex9ebe91020

42612625440 has 1152 divisors, whose sum is σ = 193603737600. Its totient is φ = 8267857920.

The previous prime is 42612625399. The next prime is 42612625507. The reversal of 42612625440 is 4452621624.

42612625440 is a `hidden beast` number, since 4 + 26 + 1 + 2 + 625 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42612625395 and 42612625404.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 238059271 + ... + 238059449.

It is an arithmetic number, because the mean of its divisors is an integer number (168058800).

Almost surely, 242612625440 is an apocalyptic number.

42612625440 is a gapful number since it is divisible by the number (40) 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 42612625440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96801868800).

42612625440 is an abundant number, since it is smaller than the sum of its proper divisors (150991112160).

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

42612625440 is a wasteful number, since it uses less digits than its factorization.

42612625440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 42612625440 in words is "forty-two billion, six hundred twelve million, six hundred twenty-five thousand, four hundred forty".