361407040 has 56 divisors (see below), whose sum is σ = 872776512. Its totient is φ = 142517760.

The previous prime is 361407031. The next prime is 361407041. The reversal of 361407040 is 40704163.

361407040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 361406996 and 361407014.

It is not an unprimeable number, because it can be changed into a prime (361407041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14767 + ... + 30673.

Almost surely, 2^361407040 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 361407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436388256).

361407040 is an abundant number, since it is smaller than the sum of its proper divisors (511369472).

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

361407040 is a wasteful number, since it uses less digits than its factorization.

361407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15995 (or 15985 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 361407040 is about 19010.7085612294. The cubic root of 361407040 is about 712.3042507295.

The spelling of 361407040 in words is "three hundred sixty-one million, four hundred seven thousand, forty".