120407040 has 352 divisors, whose sum is σ = 467698560. Its totient is φ = 29196288.

The previous prime is 120407033. The next prime is 120407041. The reversal of 120407040 is 40704021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120407041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1797087 + ... + 1797153.

Almost surely, 2^120407040 is an apocalyptic number.

120407040 is a gapful number since it is divisible by the number (10) 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 120407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233849280).

120407040 is an abundant number, since it is smaller than the sum of its proper divisors (347291520).

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

120407040 is a wasteful number, since it uses less digits than its factorization.

120407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 120407040 is about 10973.0141711382. The cubic root of 120407040 is about 493.7994782441.

The spelling of 120407040 in words is "one hundred twenty million, four hundred seven thousand, forty".