41460137930400 has 576 divisors, whose sum is σ = 155761030656000. Its totient is φ = 9383005163520.

The previous prime is 41460137930399. The next prime is 41460137930437. The reversal of 41460137930400 is 403973106414.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 871005801 + ... + 871053399.

It is an arithmetic number, because the mean of its divisors is an integer number (270418456000).

Almost surely, 2^{41460137930400} is an apocalyptic number.

41460137930400 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 41460137930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77880515328000).

41460137930400 is an abundant number, since it is smaller than the sum of its proper divisors (114300892725600).

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

41460137930400 is a wasteful number, since it uses less digits than its factorization.

41460137930400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48141 (or 48128 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 41460137930400 in words is "forty-one trillion, four hundred sixty billion, one hundred thirty-seven million, nine hundred thirty thousand, four hundred".