40242545534400 has 672 divisors, whose sum is σ = 150387403161600. Its totient is φ = 9325804646400.

The previous prime is 40242545534369. The next prime is 40242545534417. The reversal of 40242545534400 is 443554524204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2136120181 + ... + 2136139019.

Almost surely, 2^{40242545534400} is an apocalyptic number.

40242545534400 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 40242545534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75193701580800).

40242545534400 is an abundant number, since it is smaller than the sum of its proper divisors (110144857627200).

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

40242545534400 is a wasteful number, since it uses less digits than its factorization.

40242545534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20657 (or 20642 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 42.

The spelling of 40242545534400 in words is "forty trillion, two hundred forty-two billion, five hundred forty-five million, five hundred thirty-four thousand, four hundred".