744940022400 has 2016 divisors, whose sum is σ = 3388327106400. Its totient is φ = 161310320640.

The previous prime is 744940022383. The next prime is 744940022459. The reversal of 744940022400 is 4220049447.

744940022400 is a `hidden beast` number, since 7 + 4 + 4 + 9 + 400 + 2 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 39207369591 + ... + 39207369609.

Almost surely, 2^744940022400 is an apocalyptic number.

744940022400 is a gapful number since it is divisible by the number (70) 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 744940022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694163553200).

744940022400 is an abundant number, since it is smaller than the sum of its proper divisors (2643387084000).

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

744940022400 is an frugal number, since it uses more digits than its factorization.

744940022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 744940022400 in words is "seven hundred forty-four billion, nine hundred forty million, twenty-two thousand, four hundred".