40325242687488 has 832 divisors, whose sum is σ = 138208334019840. Its totient is φ = 11483165491200.

The previous prime is 40325242687487. The next prime is 40325242687507. The reversal of 40325242687488 is 88478624252304.

40325242687488 is a `hidden beast` number, since 4 + 0 + 3 + 2 + 52 + 4 + 26 + 87 + 488 = 666.

It is a super-2 number, since 2×40325242687488² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40325242687487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19377818608 + ... + 19377820688.

Almost surely, 2^{40325242687488} is an apocalyptic number.

40325242687488 is a gapful number since it is divisible by the number (48) 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 40325242687488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69104167009920).

40325242687488 is an abundant number, since it is smaller than the sum of its proper divisors (97883091332352).

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

40325242687488 is a wasteful number, since it uses less digits than its factorization.

40325242687488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3079 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 165150720, while the sum is 63.

The spelling of 40325242687488 in words is "forty trillion, three hundred twenty-five billion, two hundred forty-two million, six hundred eighty-seven thousand, four hundred eighty-eight".