40621589648640 has 4608 divisors, whose sum is σ = 212667885158400. Its totient is φ = 7057910661120.

The previous prime is 40621589648611. The next prime is 40621589648677. The reversal of 40621589648640 is 4684698512604.

40621589648640 is a `hidden beast` number, since 4 + 0 + 6 + 2 + 1 + 589 + 6 + 4 + 8 + 6 + 40 = 666.

40621589648640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40621589648640² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 15117821377 + ... + 15117824063.

It is an arithmetic number, because the mean of its divisors is an integer number (46151884800).

Almost surely, 2^{40621589648640} is an apocalyptic number.

40621589648640 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 40621589648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106333942579200).

40621589648640 is an abundant number, since it is smaller than the sum of its proper divisors (172046295509760).

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

40621589648640 is a wasteful number, since it uses less digits than its factorization.

40621589648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 40621589648640 in words is "forty trillion, six hundred twenty-one billion, five hundred eighty-nine million, six hundred forty-eight thousand, six hundred forty".