6162147901440 has 816 divisors, whose sum is σ = 23812664709600. Its totient is φ = 1464952946688.

The previous prime is 6162147901433. The next prime is 6162147901463. The reversal of 6162147901440 is 441097412616.

6162147901440 is a `hidden beast` number, since 6 + 1 + 62 + 147 + 9 + 0 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (816).

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 47 ways as a sum of consecutive naturals, for example, 952562526 + ... + 952568994.

Almost surely, 2^{6162147901440} is an apocalyptic number.

6162147901440 is a gapful number since it is divisible by the number (60) 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 6162147901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11906332354800).

6162147901440 is an abundant number, since it is smaller than the sum of its proper divisors (17650516808160).

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

6162147901440 is a wasteful number, since it uses less digits than its factorization.

6162147901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6548 (or 6515 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 6162147901440 in words is "six trillion, one hundred sixty-two billion, one hundred forty-seven million, nine hundred one thousand, four hundred forty".