40634828302464 has 896 divisors, whose sum is σ = 141889445167680. Its totient is φ = 11449218170880.

The previous prime is 40634828302457. The next prime is 40634828302469. The reversal of 40634828302464 is 46420382843604.

40634828302464 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 482 + 83 + 0 + 24 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 40634828302464.

It is not an unprimeable number, because it can be changed into a prime (40634828302469) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1448281524 + ... + 1448309580.

Almost surely, 2^{40634828302464} is an apocalyptic number.

40634828302464 is a gapful number since it is divisible by the number (44) 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 40634828302464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70944722583840).

40634828302464 is an abundant number, since it is smaller than the sum of its proper divisors (101254616865216).

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

40634828302464 is a wasteful number, since it uses less digits than its factorization.

40634828302464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28200 (or 28173 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 54.

The spelling of 40634828302464 in words is "forty trillion, six hundred thirty-four billion, eight hundred twenty-eight million, three hundred two thousand, four hundred sixty-four".