1061656646400 has 1296 divisors, whose sum is σ = 4603673401600. Its totient is φ = 228009738240.

The previous prime is 1061656646399. The next prime is 1061656646411. The reversal of 1061656646400 is 46466561601.

It is a happy number.

1061656646400 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 6 + 566 + 46 + 40 + 0 = 666.

It is a super-2 number, since 2×1061656646400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1064850702 + ... + 1064851698.

Almost surely, 2^{1061656646400} is an apocalyptic number.

1061656646400 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 1061656646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301836700800).

1061656646400 is an abundant number, since it is smaller than the sum of its proper divisors (3542016755200).

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

1061656646400 is a wasteful number, since it uses less digits than its factorization.

1061656646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1061656646400 in words is "one trillion, sixty-one billion, six hundred fifty-six million, six hundred forty-six thousand, four hundred".