42021516400 has 180 divisors, whose sum is σ = 104000765400. Its totient is φ = 16315520000.

The previous prime is 42021516379. The next prime is 42021516413. The reversal of 42021516400 is 461512024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 167416275 + ... + 167416525.

It is an arithmetic number, because the mean of its divisors is an integer number (577782030).

Almost surely, 2^42021516400 is an apocalyptic number.

42021516400 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 42021516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52000382700).

42021516400 is an abundant number, since it is smaller than the sum of its proper divisors (61979249000).

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

42021516400 is a wasteful number, since it uses less digits than its factorization.

42021516400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 42021516400 in words is "forty-two billion, twenty-one million, five hundred sixteen thousand, four hundred".