1007502013440 has 2112 divisors, whose sum is σ = 4326156656640. Its totient is φ = 214035333120.

The previous prime is 1007502013429. The next prime is 1007502013451. The reversal of 1007502013440 is 443102057001.

1007502013440 is a `hidden beast` number, since 10 + 0 + 7 + 5 + 0 + 201 + 3 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (1007502013429) and next prime (1007502013451).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7933086657 + ... + 7933086783.

Almost surely, 2^{1007502013440} is an apocalyptic number.

1007502013440 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 1007502013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163078328320).

1007502013440 is an abundant number, since it is smaller than the sum of its proper divisors (3318654643200).

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

1007502013440 is a wasteful number, since it uses less digits than its factorization.

1007502013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 1007502013440 in words is "one trillion, seven billion, five hundred two million, thirteen thousand, four hundred forty".