1461385152000 has 1600 divisors, whose sum is σ = 5899636416960. Its totient is φ = 358318080000.

The previous prime is 1461385151971. The next prime is 1461385152043. The reversal of 1461385152000 is 2515831641.

1461385152000 is a `hidden beast` number, since 1 + 4 + 6 + 138 + 515 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3644351800 + ... + 3644352200.

Almost surely, 2^{1461385152000} is an apocalyptic number.

1461385152000 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 1461385152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949818208480).

1461385152000 is an abundant number, since it is smaller than the sum of its proper divisors (4438251264960).

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

1461385152000 is an equidigital number, since it uses as much as digits as its factorization.

1461385152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1461385152000 in words is "one trillion, four hundred sixty-one billion, three hundred eighty-five million, one hundred fifty-two thousand".