1076405386896 has 240 divisors, whose sum is σ = 3577397444608. Its totient is φ = 295651296000.

The previous prime is 1076405386879. The next prime is 1076405386907. The reversal of 1076405386896 is 6986835046701.

1076405386896 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 4 + 0 + 538 + 6 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4604385 + ... + 4832511.

Almost surely, 2^{1076405386896} is an apocalyptic number.

1076405386896 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 1076405386896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788698722304).

1076405386896 is an abundant number, since it is smaller than the sum of its proper divisors (2500992057712).

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

1076405386896 is a wasteful number, since it uses less digits than its factorization.

1076405386896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228330 (or 228321 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 1076405386896 in words is "one trillion, seventy-six billion, four hundred five million, three hundred eighty-six thousand, eight hundred ninety-six".