461414402040240 has 240 divisors, whose sum is σ = 1763952608021760. Its totient is φ = 106994643909120.

The previous prime is 461414402040211. The next prime is 461414402040269. The reversal of 461414402040240 is 42040204414164.

461414402040240 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 1 + 4 + 402 + 0 + 4 + 0 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (461414402040211) and next prime (461414402040269).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 461414402040195 and 461414402040204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1266326410 + ... + 1266690729.

It is an arithmetic number, because the mean of its divisors is an integer number (7349802533424).

Almost surely, 2^{461414402040240} is an apocalyptic number.

461414402040240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461414402040240 is an abundant number, since it is smaller than the sum of its proper divisors (1302538205981520).

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

461414402040240 is a wasteful number, since it uses less digits than its factorization.

461414402040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533017192 (or 2533017183 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 461414402040240 in words is "four hundred sixty-one trillion, four hundred fourteen billion, four hundred two million, forty thousand, two hundred forty".