1061921246400 has 504 divisors, whose sum is σ = 4323692265984. Its totient is φ = 242151782400.

The previous prime is 1061921246341. The next prime is 1061921246401. The reversal of 1061921246400 is 46421291601.

1061921246400 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 9 + 2 + 1 + 2 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×1061921246400² (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 not an unprimeable number, because it can be changed into a prime (1061921246401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43432579 + ... + 43457021.

It is an arithmetic number, because the mean of its divisors is an integer number (8578754496).

Almost surely, 2^{1061921246400} is an apocalyptic number.

1061921246400 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 1061921246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161846132992).

1061921246400 is an abundant number, since it is smaller than the sum of its proper divisors (3261771019584).

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

1061921246400 is a wasteful number, since it uses less digits than its factorization.

1061921246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24909 (or 24891 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1061921246400 in words is "one trillion, sixty-one billion, nine hundred twenty-one million, two hundred forty-six thousand, four hundred".