15119427671040 has 1408 divisors, whose sum is σ = 63387363483648. Its totient is φ = 2982433259520.

The previous prime is 15119427671021. The next prime is 15119427671057. The reversal of 15119427671040 is 4017672491151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3726748692 + ... + 3726752748.

Almost surely, 2^{15119427671040} is an apocalyptic number.

15119427671040 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 15119427671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31693681741824).

15119427671040 is an abundant number, since it is smaller than the sum of its proper divisors (48267935812608).

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

15119427671040 is a wasteful number, since it uses less digits than its factorization.

15119427671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4263 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 15119427671040 in words is "fifteen trillion, one hundred nineteen billion, four hundred twenty-seven million, six hundred seventy-one thousand, forty".