15100432115040 has 240 divisors, whose sum is σ = 53317259347968. Its totient is φ = 4024868880384.

The previous prime is 15100432114973. The next prime is 15100432115063. The reversal of 15100432115040 is 4051123400151.

15100432115040 is a `hidden beast` number, since 1 + 5 + 100 + 43 + 2 + 11 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 15100432114995 and 15100432115013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27108769 + ... + 27660191.

Almost surely, 2^{15100432115040} is an apocalyptic number.

15100432115040 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 15100432115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26658629673984).

15100432115040 is an abundant number, since it is smaller than the sum of its proper divisors (38216827232928).

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

15100432115040 is a wasteful number, since it uses less digits than its factorization.

15100432115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553563 (or 553546 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 15100432115040 its reverse (4051123400151), we get a palindrome (19151555515191).

The spelling of 15100432115040 in words is "fifteen trillion, one hundred billion, four hundred thirty-two million, one hundred fifteen thousand, forty".