42731404441650 has 192 divisors, whose sum is σ = 118077052584960. Its totient is φ = 11363286528000.

The previous prime is 42731404441631. The next prime is 42731404441669. The reversal of 42731404441650 is 5614440413724.

42731404441650 is a `hidden beast` number, since 4 + 2 + 7 + 3 + 1 + 40 + 444 + 165 + 0 = 666.

42731404441650 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42731404441631) and next prime (42731404441669).

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

It is a junction number, because it is equal to n+sod(n) for n = 42731404441596 and 42731404441605.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2573087647 + ... + 2573104253.

It is an arithmetic number, because the mean of its divisors is an integer number (614984648880).

Almost surely, 2^{42731404441650} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42731404441650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59038526292480).

42731404441650 is an abundant number, since it is smaller than the sum of its proper divisors (75345648143310).

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

42731404441650 is a wasteful number, since it uses less digits than its factorization.

42731404441650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21826 (or 21815 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 42731404441650 in words is "forty-two trillion, seven hundred thirty-one billion, four hundred four million, four hundred forty-one thousand, six hundred fifty".