42151670870400 has 3840 divisors, whose sum is σ = 209306923499520. Its totient is φ = 8097988608000.

The previous prime is 42151670870371. The next prime is 42151670870467. The reversal of 42151670870400 is 407807615124.

42151670870400 is a `hidden beast` number, since 4 + 2 + 1 + 5 + 167 + 0 + 87 + 0 + 400 = 666.

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 479 ways as a sum of consecutive naturals, for example, 12430452705 + ... + 12430456095.

It is an arithmetic number, because the mean of its divisors is an integer number (54507011328).

Almost surely, 2^{42151670870400} is an apocalyptic number.

42151670870400 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 42151670870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104653461749760).

42151670870400 is an abundant number, since it is smaller than the sum of its proper divisors (167155252629120).

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

42151670870400 is a wasteful number, since it uses less digits than its factorization.

42151670870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 42151670870400 in words is "forty-two trillion, one hundred fifty-one billion, six hundred seventy million, eight hundred seventy thousand, four hundred".