1046576401920 has 2400 divisors, whose sum is σ = 4736642647968. Its totient is φ = 219386216448.

The previous prime is 1046576401919. The next prime is 1046576401921. The reversal of 1046576401920 is 291046756401.

1046576401920 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 576 + 40 + 19 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1046576401919) and next prime (1046576401921).

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 (1046576401921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12609354199 + ... + 12609354281.

Almost surely, 2^{1046576401920} is an apocalyptic number.

1046576401920 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 1046576401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368321323984).

1046576401920 is an abundant number, since it is smaller than the sum of its proper divisors (3690066246048).

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

1046576401920 is an equidigital number, since it uses as much as digits as its factorization.

1046576401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1046576401920 in words is "one trillion, forty-six billion, five hundred seventy-six million, four hundred one thousand, nine hundred twenty".