41542155202400 has 144 divisors (see below), whose sum is σ = 102990777449616. Its totient is φ = 16358935633920.

The previous prime is 41542155202391. The next prime is 41542155202421. The reversal of 41542155202400 is 420255124514.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88581332 + ... + 89049068.

It is an arithmetic number, because the mean of its divisors is an integer number (715213732289).

Almost surely, 2^{41542155202400} is an apocalyptic number.

41542155202400 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 41542155202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51495388724808).

41542155202400 is an abundant number, since it is smaller than the sum of its proper divisors (61448622247216).

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

41542155202400 is a wasteful number, since it uses less digits than its factorization.

41542155202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469481 (or 469468 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

The spelling of 41542155202400 in words is "forty-one trillion, five hundred forty-two billion, one hundred fifty-five million, two hundred two thousand, four hundred".