1407816961920 has 768 divisors, whose sum is σ = 5238434073600. Its totient is φ = 360864129024.

The previous prime is 1407816961897. The next prime is 1407816961927. The reversal of 1407816961920 is 291696187041.

1407816961920 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 8 + 16 + 9 + 619 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1407816961927) 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, 1276352089 + ... + 1276353191.

It is an arithmetic number, because the mean of its divisors is an integer number (6820877700).

Almost surely, 2^{1407816961920} is an apocalyptic number.

1407816961920 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 1407816961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619217036800).

1407816961920 is an abundant number, since it is smaller than the sum of its proper divisors (3830617111680).

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

1407816961920 is a wasteful number, since it uses less digits than its factorization.

1407816961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 1407816961920 in words is "one trillion, four hundred seven billion, eight hundred sixteen million, nine hundred sixty-one thousand, nine hundred twenty".