940008407040 has 864 divisors, whose sum is σ = 3462602846976. Its totient is φ = 235552112640.

The previous prime is 940008407027. The next prime is 940008407057. The reversal of 940008407040 is 40704800049.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 940008406986 and 940008407004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9690808272 + ... + 9690808368.

It is an arithmetic number, because the mean of its divisors is an integer number (4007642184).

Almost surely, 2^940008407040 is an apocalyptic number.

940008407040 is a gapful number since it is divisible by the number (90) 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 940008407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731301423488).

940008407040 is an abundant number, since it is smaller than the sum of its proper divisors (2522594439936).

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

940008407040 is an equidigital number, since it uses as much as digits as its factorization.

940008407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 940008407040 in words is "nine hundred forty billion, eight million, four hundred seven thousand, forty".