1415150853120 has 1408 divisors, whose sum is σ = 5489759232000. Its totient is φ = 344834703360.

The previous prime is 1415150853079. The next prime is 1415150853133. The reversal of 1415150853120 is 213580515141.

1415150853120 is a `hidden beast` number, since 1 + 4 + 1 + 51 + 50 + 8 + 531 + 20 = 666.

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

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, 7332387744 + ... + 7332387936.

Almost surely, 2^{1415150853120} is an apocalyptic number.

1415150853120 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 1415150853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744879616000).

1415150853120 is an abundant number, since it is smaller than the sum of its proper divisors (4074608378880).

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

1415150853120 is a wasteful number, since it uses less digits than its factorization.

1415150853120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 1415150853120 in words is "one trillion, four hundred fifteen billion, one hundred fifty million, eight hundred fifty-three thousand, one hundred twenty".