1461857401872 has 240 divisors, whose sum is σ = 4985002725120. Its totient is φ = 408786594048.

The previous prime is 1461857401867. The next prime is 1461857401877. The reversal of 1461857401872 is 2781047581641.

It is a happy number.

1461857401872 is a `hidden beast` number, since 1 + 4 + 61 + 8 + 574 + 0 + 1 + 8 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1461857401867) and next prime (1461857401877).

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

It is not an unprimeable number, because it can be changed into a prime (1461857401877) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260218 + ... + 1729574.

It is an arithmetic number, because the mean of its divisors is an integer number (20770844688).

Almost surely, 2^{1461857401872} is an apocalyptic number.

1461857401872 is a gapful number since it is divisible by the number (12) 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 1461857401872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492501362560).

1461857401872 is an abundant number, since it is smaller than the sum of its proper divisors (3523145323248).

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

1461857401872 is a wasteful number, since it uses less digits than its factorization.

1461857401872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469435 (or 1469416 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 1461857401872 in words is "one trillion, four hundred sixty-one billion, eight hundred fifty-seven million, four hundred one thousand, eight hundred seventy-two".