5412966167040 has 640 divisors, whose sum is σ = 19451783577600. Its totient is φ = 1277709189120.

The previous prime is 5412966167023. The next prime is 5412966167051. The reversal of 5412966167040 is 407616692145.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131161449 + ... + 131202711.

It is an arithmetic number, because the mean of its divisors is an integer number (30393411840).

Almost surely, 2^{5412966167040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5412966167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9725891788800).

5412966167040 is an abundant number, since it is smaller than the sum of its proper divisors (14038817410560).

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

5412966167040 is a wasteful number, since it uses less digits than its factorization.

5412966167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41368 (or 41352 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 5412966167040 in words is "five trillion, four hundred twelve billion, nine hundred sixty-six million, one hundred sixty-seven thousand, forty".