40234687764480 has 1152 divisors, whose sum is σ = 156971872512000. Its totient is φ = 9447694663680.

The previous prime is 40234687764389. The next prime is 40234687764487. The reversal of 40234687764480 is 8446778643204.

40234687764480 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 4 + 6 + 87 + 76 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40234687764487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4244608381 + ... + 4244617859.

It is an arithmetic number, because the mean of its divisors is an integer number (136260306000).

Almost surely, 2^{40234687764480} is an apocalyptic number.

40234687764480 is a gapful number since it is divisible by the number (40) 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 40234687764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78485936256000).

40234687764480 is an abundant number, since it is smaller than the sum of its proper divisors (116737184747520).

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

40234687764480 is a wasteful number, since it uses less digits than its factorization.

40234687764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9655 (or 9632 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 63.

The spelling of 40234687764480 in words is "forty trillion, two hundred thirty-four billion, six hundred eighty-seven million, seven hundred sixty-four thousand, four hundred eighty".