1272491700480 has 3456 divisors, whose sum is σ = 6323731255296. Its totient is φ = 236489932800.

The previous prime is 1272491700457. The next prime is 1272491700511. The reversal of 1272491700480 is 840071942721.

1272491700480 is a `hidden beast` number, since 12 + 7 + 2 + 4 + 91 + 70 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 383 ways as a sum of consecutive naturals, for example, 18992413407 + ... + 18992413473.

Almost surely, 2^{1272491700480} is an apocalyptic number.

1272491700480 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 1272491700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161865627648).

1272491700480 is an abundant number, since it is smaller than the sum of its proper divisors (5051239554816).

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

1272491700480 is a wasteful number, since it uses less digits than its factorization.

1272491700480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1272491700480 in words is "one trillion, two hundred seventy-two billion, four hundred ninety-one million, seven hundred thousand, four hundred eighty".