40328632012032 has 2160 divisors, whose sum is σ = 158459337254400. Its totient is φ = 9797479759872.

The previous prime is 40328632012007. The next prime is 40328632012043. The reversal of 40328632012032 is 23021023682304.

40328632012032 is a `hidden beast` number, since 4 + 0 + 3 + 2 + 8 + 632 + 0 + 12 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 858056000233 + ... + 858056000279.

Almost surely, 2^{40328632012032} is an apocalyptic number.

40328632012032 is a gapful number since it is divisible by the number (42) 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 40328632012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79229668627200).

40328632012032 is an abundant number, since it is smaller than the sum of its proper divisors (118130705242368).

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

40328632012032 is an frugal number, since it uses more digits than its factorization.

40328632012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 40328632012032 its reverse (23021023682304), we get a palindrome (63349655694336).

The spelling of 40328632012032 in words is "forty trillion, three hundred twenty-eight billion, six hundred thirty-two million, twelve thousand, thirty-two".