40521326469120 has 2688 divisors, whose sum is σ = 178066528174080. Its totient is φ = 8311139205120.

The previous prime is 40521326469119. The next prime is 40521326469149. The reversal of 40521326469120 is 2196462312504.

40521326469120 is a `hidden beast` number, since 4 + 0 + 52 + 13 + 2 + 6 + 469 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 112872775501 + ... + 112872775859.

It is an arithmetic number, because the mean of its divisors is an integer number (66244988160).

Almost surely, 2^{40521326469120} is an apocalyptic number.

40521326469120 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 40521326469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89033264087040).

40521326469120 is an abundant number, since it is smaller than the sum of its proper divisors (137545201704960).

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

40521326469120 is a wasteful number, since it uses less digits than its factorization.

40521326469120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 40521326469120 in words is "forty trillion, five hundred twenty-one billion, three hundred twenty-six million, four hundred sixty-nine thousand, one hundred twenty".