40598701632 has 112 divisors (see below), whose sum is σ = 120293099520. Its totient is φ = 13426269696.

The previous prime is 40598701613. The next prime is 40598701651. The reversal of 40598701632 is 23610789504.

40598701632 is a `hidden beast` number, since 4 + 0 + 5 + 9 + 8 + 7 + 0 + 1 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (40598701613) and next prime (40598701651).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126958 + ... + 311954.

It is a 1-persistent number, because it is pandigital, but 2⋅40598701632 = 81197403264 is not.

Almost surely, 2^40598701632 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 40598701632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60146549760).

40598701632 is an abundant number, since it is smaller than the sum of its proper divisors (79694397888).

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

40598701632 is a wasteful number, since it uses less digits than its factorization.

40598701632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185145 (or 185129 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 40598701632 in words is "forty billion, five hundred ninety-eight million, seven hundred one thousand, six hundred thirty-two".