15379943040 has 640 divisors, whose sum is σ = 68495137920. Its totient is φ = 3195002880.

The previous prime is 15379943021. The next prime is 15379943093. The reversal of 15379943040 is 4034997351.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3989754 + ... + 3993606.

It is an arithmetic number, because the mean of its divisors is an integer number (107023653).

Almost surely, 2^15379943040 is an apocalyptic number.

15379943040 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 15379943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34247568960).

15379943040 is an abundant number, since it is smaller than the sum of its proper divisors (53115194880).

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

15379943040 is a wasteful number, since it uses less digits than its factorization.

15379943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3902 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 15379943040 in words is "fifteen billion, three hundred seventy-nine million, nine hundred forty-three thousand, forty".