4013349350400 has 792 divisors, whose sum is σ = 15626494388960. Its totient is φ = 978234900480.

The previous prime is 4013349350377. The next prime is 4013349350467. The reversal of 4013349350400 is 40539433104.

It is a super-2 number, since 2×4013349350400² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 308499096 + ... + 308512104.

Almost surely, 2^{4013349350400} is an apocalyptic number.

4013349350400 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 4013349350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7813247194480).

4013349350400 is an abundant number, since it is smaller than the sum of its proper divisors (11613145038560).

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

4013349350400 is a wasteful number, since it uses less digits than its factorization.

4013349350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13161 (or 13135 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 4013349350400 in words is "four trillion, thirteen billion, three hundred forty-nine million, three hundred fifty thousand, four hundred".