1415207040 has 384 divisors, whose sum is σ = 5104814400. Its totient is φ = 331407360.

The previous prime is 1415207029. The next prime is 1415207069. The reversal of 1415207040 is 407025141.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1415207040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23986531 + ... + 23986589.

Almost surely, 2^1415207040 is an apocalyptic number.

1415207040 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 1415207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552407200).

1415207040 is an abundant number, since it is smaller than the sum of its proper divisors (3689607360).

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

1415207040 is a wasteful number, since it uses less digits than its factorization.

1415207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 1415207040 is about 37619.2376318287. The cubic root of 1415207040 is about 1122.7248280235.

The spelling of 1415207040 in words is "one billion, four hundred fifteen million, two hundred seven thousand, forty".