40380357120 has 160 divisors (see below), whose sum is σ = 129359970432. Its totient is φ = 10745659392.

The previous prime is 40380357067. The next prime is 40380357181. The reversal of 40380357120 is 2175308304.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×40380357120² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3857814 + ... + 3868266.

Almost surely, 2^40380357120 is an apocalyptic number.

40380357120 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 40380357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64679985216).

40380357120 is an abundant number, since it is smaller than the sum of its proper divisors (88979613312).

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

40380357120 is a wasteful number, since it uses less digits than its factorization.

40380357120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10982 (or 10966 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 40380357120 in words is "forty billion, three hundred eighty million, three hundred fifty-seven thousand, one hundred twenty".