44226507902400 has 840 divisors, whose sum is σ = 164908569394800. Its totient is φ = 11624422440960.

The previous prime is 44226507902359. The next prime is 44226507902417. The reversal of 44226507902400 is 420970562244.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4829798622 + ... + 4829807778.

It is an arithmetic number, because the mean of its divisors is an integer number (196319725470).

Almost surely, 2^{44226507902400} is an apocalyptic number.

44226507902400 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 44226507902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82454284697400).

44226507902400 is an abundant number, since it is smaller than the sum of its proper divisors (120682061492400).

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

44226507902400 is a wasteful number, since it uses less digits than its factorization.

44226507902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9723 (or 9699 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 44226507902400 in words is "forty-four trillion, two hundred twenty-six billion, five hundred seven million, nine hundred two thousand, four hundred".