42400876896 has 240 divisors, whose sum is σ = 143610001920. Its totient is φ = 12021384960.

The previous prime is 42400876891. The next prime is 42400876943. The reversal of 42400876896 is 69867800424.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42400876891) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2367945 + ... + 2385783.

It is an arithmetic number, because the mean of its divisors is an integer number (598375008).

Almost surely, 2^42400876896 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 42400876896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71805000960).

42400876896 is an abundant number, since it is smaller than the sum of its proper divisors (101209125024).

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

42400876896 is a wasteful number, since it uses less digits than its factorization.

42400876896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17999 (or 17982 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 42400876896 in words is "forty-two billion, four hundred million, eight hundred seventy-six thousand, eight hundred ninety-six".