42681542400 has 648 divisors, whose sum is σ = 179171594784. Its totient is φ = 9488793600.

The previous prime is 42681542369. The next prime is 42681542417. The reversal of 42681542400 is 424518624.

42681542400 is a `hidden beast` number, since 4 + 268 + 154 + 240 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14916970 + ... + 14919830.

Almost surely, 2^42681542400 is an apocalyptic number.

42681542400 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 42681542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89585797392).

42681542400 is an abundant number, since it is smaller than the sum of its proper divisors (136490052384).

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

42681542400 is a wasteful number, since it uses less digits than its factorization.

42681542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 42681542400 in words is "forty-two billion, six hundred eighty-one million, five hundred forty-two thousand, four hundred".