1061299814400 has 1296 divisors, whose sum is σ = 4472528677344. Its totient is φ = 235552112640.

The previous prime is 1061299814389. The next prime is 1061299814437. The reversal of 1061299814400 is 44189921601.

It is a happy number.

1061299814400 is a `hidden beast` number, since 1 + 0 + 6 + 129 + 9 + 81 + 440 + 0 = 666.

It is a super-2 number, since 2×1061299814400² (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 71 ways as a sum of consecutive naturals, for example, 10941235152 + ... + 10941235248.

It is an arithmetic number, because the mean of its divisors is an integer number (3451025214).

Almost surely, 2^{1061299814400} is an apocalyptic number.

1061299814400 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 1061299814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236264338672).

1061299814400 is an abundant number, since it is smaller than the sum of its proper divisors (3411228862944).

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

1061299814400 is an frugal number, since it uses more digits than its factorization.

1061299814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1061299814400 in words is "one trillion, sixty-one billion, two hundred ninety-nine million, eight hundred fourteen thousand, four hundred".