40514521106304 has 512 divisors, whose sum is σ = 137779334784000. Its totient is φ = 11480780021760.

The previous prime is 40514521106251. The next prime is 40514521106363. The reversal of 40514521106304 is 40360112541504.

40514521106304 is a `hidden beast` number, since 4 + 0 + 5 + 1 + 4 + 5 + 2 + 1 + 10 + 630 + 4 = 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 63 ways as a sum of consecutive naturals, for example, 1659534802 + ... + 1659559214.

It is an arithmetic number, because the mean of its divisors is an integer number (269100263250).

Almost surely, 2^{40514521106304} 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 40514521106304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68889667392000).

40514521106304 is an abundant number, since it is smaller than the sum of its proper divisors (97264813677696).

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

40514521106304 is a wasteful number, since it uses less digits than its factorization.

40514521106304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25003 (or 24985 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 40514521106304 its reverse (40360112541504), we get a palindrome (80874633647808).

The spelling of 40514521106304 in words is "forty trillion, five hundred fourteen billion, five hundred twenty-one million, one hundred six thousand, three hundred four".