42455156400 has 240 divisors, whose sum is σ = 154325836800. Its totient is φ = 11080362240.

The previous prime is 42455156399. The next prime is 42455156407. The reversal of 42455156400 is 465155424.

42455156400 is a `hidden beast` number, since 4 + 2 + 4 + 5 + 5 + 1 + 5 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (42455156407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465781 + ... + 549419.

It is an arithmetic number, because the mean of its divisors is an integer number (643024320).

Almost surely, 2^42455156400 is an apocalyptic number.

42455156400 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 42455156400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77162918400).

42455156400 is an abundant number, since it is smaller than the sum of its proper divisors (111870680400).

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

42455156400 is a wasteful number, since it uses less digits than its factorization.

42455156400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83713 (or 83696 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 42455156400 in words is "forty-two billion, four hundred fifty-five million, one hundred fifty-six thousand, four hundred".