1615113239040 has 960 divisors, whose sum is σ = 6786652055040. Its totient is φ = 346533396480.

The previous prime is 1615113238987. The next prime is 1615113239059. The reversal of 1615113239040 is 409323115161.

1615113239040 is a `hidden beast` number, since 1 + 615 + 1 + 1 + 3 + 2 + 39 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1615113238986 and 1615113239004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1757467701 + ... + 1757468619.

It is an arithmetic number, because the mean of its divisors is an integer number (7069429224).

Almost surely, 2^{1615113239040} is an apocalyptic number.

1615113239040 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 1615113239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3393326027520).

1615113239040 is an abundant number, since it is smaller than the sum of its proper divisors (5171538816000).

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

1615113239040 is a wasteful number, since it uses less digits than its factorization.

1615113239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 1615113239040 in words is "one trillion, six hundred fifteen billion, one hundred thirteen million, two hundred thirty-nine thousand, forty".