1060974950400 has 1296 divisors, whose sum is σ = 4182799158720. Its totient is φ = 256691404800.

The previous prime is 1060974950339. The next prime is 1060974950411. The reversal of 1060974950400 is 40594790601.

1060974950400 is a `hidden beast` number, since 10 + 6 + 0 + 97 + 49 + 504 + 0 + 0 = 666.

It is a super-2 number, since 2×1060974950400² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4128307072 + ... + 4128307328.

Almost surely, 2^{1060974950400} is an apocalyptic number.

1060974950400 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 1060974950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091399579360).

1060974950400 is an abundant number, since it is smaller than the sum of its proper divisors (3121824208320).

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

1060974950400 is a wasteful number, since it uses less digits than its factorization.

1060974950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1060974950400 in words is "one trillion, sixty billion, nine hundred seventy-four million, nine hundred fifty thousand, four hundred".