1405246993920 has 2520 divisors, whose sum is σ = 6510037830912. Its totient is φ = 289700167680.

The previous prime is 1405246993903. The next prime is 1405246993937. The reversal of 1405246993920 is 293996425041.

1405246993920 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 2 + 469 + 93 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1405246993903) and next prime (1405246993937).

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×1405246993920² (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 251 ways as a sum of consecutive naturals, for example, 11064936897 + ... + 11064937023.

Almost surely, 2^{1405246993920} is an apocalyptic number.

1405246993920 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 1405246993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255018915456).

1405246993920 is an abundant number, since it is smaller than the sum of its proper divisors (5104790836992).

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

1405246993920 is an equidigital number, since it uses as much as digits as its factorization.

1405246993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 1405246993920 in words is "one trillion, four hundred five billion, two hundred forty-six million, nine hundred ninety-three thousand, nine hundred twenty".