40521244212504 has 384 divisors, whose sum is σ = 127040370912000. Its totient is φ = 11539129881600.

The previous prime is 40521244212487. The next prime is 40521244212509.

40521244212504 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 124 + 4 + 21 + 2 + 504 = 666.

40521244212504 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40521244212509) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2587390434 + ... + 2587406094.

It is an arithmetic number, because the mean of its divisors is an integer number (330834299250).

Almost surely, 2^{40521244212504} is an apocalyptic number.

40521244212504 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 40521244212504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63520185456000).

40521244212504 is an abundant number, since it is smaller than the sum of its proper divisors (86519126699496).

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

40521244212504 is a wasteful number, since it uses less digits than its factorization.

40521244212504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17079 (or 17072 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

It can be divided in two parts, 4052124 and 4212504, that added together give a palindrome (8264628).

The spelling of 40521244212504 in words is "forty trillion, five hundred twenty-one billion, two hundred forty-four million, two hundred twelve thousand, five hundred four".