1406026797120 has 560 divisors, whose sum is σ = 5461423932096. Its totient is φ = 340526592000.

The previous prime is 1406026797041. The next prime is 1406026797127. The reversal of 1406026797120 is 217976206041.

1406026797120 is a `hidden beast` number, since 14 + 0 + 602 + 6 + 7 + 9 + 7 + 1 + 20 = 666.

It is a super-2 number, since 2×1406026797120² (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 not an unprimeable number, because it can be changed into a prime (1406026797127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 436517110 + ... + 436520330.

Almost surely, 2^{1406026797120} is an apocalyptic number.

1406026797120 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 1406026797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730711966048).

1406026797120 is an abundant number, since it is smaller than the sum of its proper divisors (4055397134976).

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

1406026797120 is a wasteful number, since it uses less digits than its factorization.

1406026797120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4792 (or 4773 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 1406026797120 in words is "one trillion, four hundred six billion, twenty-six million, seven hundred ninety-seven thousand, one hundred twenty".