40987577231328 has 2304 divisors, whose sum is σ = 156647914536960. Its totient is φ = 9096501657600.

The previous prime is 40987577231317. The next prime is 40987577231333. The reversal of 40987577231328 is 82313277578904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 63943177888 + ... + 63943178528.

It is an arithmetic number, because the mean of its divisors is an integer number (67989546240).

Almost surely, 2^{40987577231328} is an apocalyptic number.

40987577231328 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 40987577231328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78323957268480).

40987577231328 is an abundant number, since it is smaller than the sum of its proper divisors (115660337305632).

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

40987577231328 is a wasteful number, since it uses less digits than its factorization.

40987577231328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 66.

The spelling of 40987577231328 in words is "forty trillion, nine hundred eighty-seven billion, five hundred seventy-seven million, two hundred thirty-one thousand, three hundred twenty-eight".