444670041592140 has 1152 divisors, whose sum is σ = 1645283326998528. Its totient is φ = 87727692349440.

The previous prime is 444670041592123. The next prime is 444670041592157. The reversal of 444670041592140 is 41295140076444.

It is an interprime number because it is at equal distance from previous prime (444670041592123) and next prime (444670041592157).

It is a super-2 number, since 2×444670041592140² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7214305402 + ... + 7214367038.

It is an arithmetic number, because the mean of its divisors is an integer number (1428197332464).

Almost surely, 2^{444670041592140} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444670041592140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822641663499264).

444670041592140 is an abundant number, since it is smaller than the sum of its proper divisors (1200613285406388).

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

444670041592140 is a wasteful number, since it uses less digits than its factorization.

444670041592140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61827 (or 61812 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 444670041592140 in words is "four hundred forty-four trillion, six hundred seventy billion, forty-one million, five hundred ninety-two thousand, one hundred forty".