1407720522960 has 480 divisors, whose sum is σ = 5052683750400. Its totient is φ = 350222745600.

The previous prime is 1407720522869. The next prime is 1407720522961. The reversal of 1407720522960 is 692250277041.

1407720522960 is a `hidden beast` number, since 1 + 40 + 7 + 7 + 20 + 522 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1407720522961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 266661601 + ... + 266666879.

It is an arithmetic number, because the mean of its divisors is an integer number (10526424480).

Almost surely, 2^{1407720522960} is an apocalyptic number.

1407720522960 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 1407720522960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526341875200).

1407720522960 is an abundant number, since it is smaller than the sum of its proper divisors (3644963227440).

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

1407720522960 is a wasteful number, since it uses less digits than its factorization.

1407720522960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5611 (or 5602 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 1407720522960 in words is "one trillion, four hundred seven billion, seven hundred twenty million, five hundred twenty-two thousand, nine hundred sixty".