44120612400 has 120 divisors (see below), whose sum is σ = 141409766160. Its totient is φ = 11759109120.

The previous prime is 44120612381. The next prime is 44120612407. The reversal of 44120612400 is 421602144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (44120612407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2454646 + ... + 2472554.

It is an arithmetic number, because the mean of its divisors is an integer number (1178414718).

Almost surely, 2^44120612400 is an apocalyptic number.

44120612400 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 44120612400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70704883080).

44120612400 is an abundant number, since it is smaller than the sum of its proper divisors (97289153760).

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

44120612400 is a wasteful number, since it uses less digits than its factorization.

44120612400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19983 (or 19972 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 44120612400 in words is "forty-four billion, one hundred twenty million, six hundred twelve thousand, four hundred".