1038132412416 has 960 divisors, whose sum is σ = 3590647445880. Its totient is φ = 296209612800.

The previous prime is 1038132412393. The next prime is 1038132412459. The reversal of 1038132412416 is 6142142318301.

1038132412416 is a `hidden beast` number, since 1 + 0 + 381 + 3 + 241 + 24 + 16 = 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 59 ways as a sum of consecutive naturals, for example, 28057632750 + ... + 28057632786.

Almost surely, 2^{1038132412416} is an apocalyptic number.

1038132412416 is a gapful number since it is divisible by the number (16) 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 1038132412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795323722940).

1038132412416 is an abundant number, since it is smaller than the sum of its proper divisors (2552515033464).

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

1038132412416 is an frugal number, since it uses more digits than its factorization.

1038132412416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1038132412416 in words is "one trillion, thirty-eight billion, one hundred thirty-two million, four hundred twelve thousand, four hundred sixteen".