4016461680000 has 5120 divisors, whose sum is σ = 20556619776000. Its totient is φ = 746496000000.

The previous prime is 4016461679963. The next prime is 4016461680037. The reversal of 4016461680000 is 861646104.

4016461680000 is a `hidden beast` number, since 4 + 0 + 1 + 646 + 1 + 6 + 8 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4016461679963) and next prime (4016461680037).

It is a super-2 number, since 2×4016461680000² (a number of 26 digits) contains 22 as substring.

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 639 ways as a sum of consecutive naturals, for example, 97962479980 + ... + 97962480020.

It is an arithmetic number, because the mean of its divisors is an integer number (4014964800).

Almost surely, 2^{4016461680000} is an apocalyptic number.

4016461680000 is a gapful number since it is divisible by the number (40) 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 4016461680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10278309888000).

4016461680000 is an abundant number, since it is smaller than the sum of its proper divisors (16540158096000).

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

4016461680000 is a wasteful number, since it uses less digits than its factorization.

4016461680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 4016461680000 in words is "four trillion, sixteen billion, four hundred sixty-one million, six hundred eighty thousand".