41980309862400 has 2592 divisors, whose sum is σ = 195358282675920. Its totient is φ = 8855711907840.

The previous prime is 41980309862389. The next prime is 41980309862411. The reversal of 41980309862400 is 426890308914.

41980309862400 is a `hidden beast` number, since 4 + 1 + 9 + 8 + 0 + 3 + 0 + 9 + 8 + 624 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41980309862389) and next prime (41980309862411).

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×41980309862400² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7925296552 + ... + 7925301848.

Almost surely, 2^{41980309862400} is an apocalyptic number.

41980309862400 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 41980309862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97679141337960).

41980309862400 is an abundant number, since it is smaller than the sum of its proper divisors (153377972813520).

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

41980309862400 is a wasteful number, since it uses less digits than its factorization.

41980309862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5371 (or 5327 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 41980309862400 in words is "forty-one trillion, nine hundred eighty billion, three hundred nine million, eight hundred sixty-two thousand, four hundred".