1332712977408 has 1408 divisors, whose sum is σ = 4631772119040. Its totient is φ = 376048189440.

The previous prime is 1332712977389. The next prime is 1332712977443. The reversal of 1332712977408 is 8047792172331.

1332712977408 is a `hidden beast` number, since 13 + 3 + 271 + 297 + 74 + 0 + 8 = 666.

It is a super-2 number, since 2×1332712977408² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21847753698 + ... + 21847753758.

It is an arithmetic number, because the mean of its divisors is an integer number (3289610880).

Almost surely, 2^{1332712977408} is an apocalyptic number.

1332712977408 is a gapful number since it is divisible by the number (18) 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 1332712977408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315886059520).

1332712977408 is an abundant number, since it is smaller than the sum of its proper divisors (3299059141632).

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

1332712977408 is a wasteful number, since it uses less digits than its factorization.

1332712977408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 1332712977408 in words is "one trillion, three hundred thirty-two billion, seven hundred twelve million, nine hundred seventy-seven thousand, four hundred eight".