40146459232048 has 80 divisors (see below), whose sum is σ = 86039307708256. Its totient is φ = 18026629263360.

The previous prime is 40146459232043. The next prime is 40146459232111. The reversal of 40146459232048 is 84023295464104.

It is a super-2 number, since 2×40146459232048² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 40146459231986 and 40146459232004.

It is not an unprimeable number, because it can be changed into a prime (40146459232043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82280968 + ... + 82767448.

Almost surely, 2^{40146459232048} 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 40146459232048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43019653854128).

40146459232048 is an abundant number, since it is smaller than the sum of its proper divisors (45892848476208).

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

40146459232048 is a wasteful number, since it uses less digits than its factorization.

40146459232048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497262 (or 497256 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 52.

The spelling of 40146459232048 in words is "forty trillion, one hundred forty-six billion, four hundred fifty-nine million, two hundred thirty-two thousand, forty-eight".