41308201049400 has 768 divisors, whose sum is σ = 150928833686400. Its totient is φ = 10371337666560.

The previous prime is 41308201049399. The next prime is 41308201049413. The reversal of 41308201049400 is 494010280314.

It is a happy number.

41308201049400 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 8 + 201 + 0 + 49 + 400 = 666.

It is a super-2 number, since 2×41308201049400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 772999482 + ... + 773052918.

Almost surely, 2^{41308201049400} is an apocalyptic number.

41308201049400 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 41308201049400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75464416843200).

41308201049400 is an abundant number, since it is smaller than the sum of its proper divisors (109620632637000).

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

41308201049400 is a wasteful number, since it uses less digits than its factorization.

41308201049400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53625 (or 53610 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 41308201049400 in words is "forty-one trillion, three hundred eight billion, two hundred one million, forty-nine thousand, four hundred".