44357006160400 has 240 divisors, whose sum is σ = 115041317688000. Its totient is φ = 16381444423680.

The previous prime is 44357006160373. The next prime is 44357006160409. The reversal of 44357006160400 is 406160075344.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (44357006160409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146582052 + ... + 146884348.

It is an arithmetic number, because the mean of its divisors is an integer number (479338823700).

Almost surely, 2^{44357006160400} is an apocalyptic number.

44357006160400 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 44357006160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57520658844000).

44357006160400 is an abundant number, since it is smaller than the sum of its proper divisors (70684311527600).

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

44357006160400 is a wasteful number, since it uses less digits than its factorization.

44357006160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302826 (or 302815 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 44357006160400 in words is "forty-four trillion, three hundred fifty-seven billion, six million, one hundred sixty thousand, four hundred".