1061815910400 has 1428 divisors, whose sum is σ = 4547664581632. Its totient is φ = 240789749760.

The previous prime is 1061815910399. The next prime is 1061815910437. The reversal of 1061815910400 is 40195181601.

It is a happy number.

1061815910400 is a `hidden beast` number, since 1 + 0 + 61 + 8 + 1 + 591 + 0 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×1061815910400² (a number of 25 digits) contains 22 as substring.

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 83 ways as a sum of consecutive naturals, for example, 8360755137 + ... + 8360755263.

Almost surely, 2^{1061815910400} is an apocalyptic number.

1061815910400 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 1061815910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273832290816).

1061815910400 is an abundant number, since it is smaller than the sum of its proper divisors (3485848671232).

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

1061815910400 is an frugal number, since it uses more digits than its factorization.

1061815910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 1061815910400 in words is "one trillion, sixty-one billion, eight hundred fifteen million, nine hundred ten thousand, four hundred".