44040180993120 has 384 divisors, whose sum is σ = 166010518396800. Its totient is φ = 10839816658944.

The previous prime is 44040180993077. The next prime is 44040180993163. The reversal of 44040180993120 is 2139908104044.

44040180993120 is a `hidden beast` number, since 4 + 40 + 401 + 80 + 9 + 9 + 3 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (44040180993077) and next prime (44040180993163).

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 63 ways as a sum of consecutive naturals, for example, 1034052786 + ... + 1034095374.

It is an arithmetic number, because the mean of its divisors is an integer number (432319058325).

Almost surely, 2^{44040180993120} is an apocalyptic number.

44040180993120 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 44040180993120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83005259198400).

44040180993120 is an abundant number, since it is smaller than the sum of its proper divisors (121970337403680).

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

44040180993120 is a wasteful number, since it uses less digits than its factorization.

44040180993120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61039 (or 61025 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 44040180993120 in words is "forty-four trillion, forty billion, one hundred eighty million, nine hundred ninety-three thousand, one hundred twenty".