3954460124160 has 1320 divisors, whose sum is σ = 17753302579320. Its totient is φ = 834291892224.

The previous prime is 3954460124137. The next prime is 3954460124189. The reversal of 3954460124160 is 614210644593.

3954460124160 is a `hidden beast` number, since 3 + 9 + 5 + 4 + 4 + 601 + 24 + 16 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 239990252544 + 3714469871616 = 489888^2 + 1927296^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 264169156 + ... + 264184124.

It is an arithmetic number, because the mean of its divisors is an integer number (13449471651).

Almost surely, 2^{3954460124160} is an apocalyptic number.

3954460124160 is a gapful number since it is divisible by the number (30) 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 3954460124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8876651289660).

3954460124160 is an abundant number, since it is smaller than the sum of its proper divisors (13798842455160).

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

3954460124160 is a wasteful number, since it uses less digits than its factorization.

3954460124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15033 (or 14999 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3954460124160 in words is "three trillion, nine hundred fifty-four billion, four hundred sixty million, one hundred twenty-four thousand, one hundred sixty".