40867221403008 has 4608 divisors, whose sum is σ = 179191014912000. Its totient is φ = 9086050713600.

The previous prime is 40867221402983. The next prime is 40867221403013. The reversal of 40867221403008 is 80030412276804.

It is a happy number.

40867221403008 is a `hidden beast` number, since 4 + 0 + 86 + 7 + 221 + 40 + 300 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 294008787003 + ... + 294008787141.

It is an arithmetic number, because the mean of its divisors is an integer number (38886939000).

Almost surely, 2^{40867221403008} is an apocalyptic number.

40867221403008 is a gapful number since it is divisible by the number (48) 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 40867221403008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89595507456000).

40867221403008 is an abundant number, since it is smaller than the sum of its proper divisors (138323793508992).

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

40867221403008 is a wasteful number, since it uses less digits than its factorization.

40867221403008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 40867221403008 in words is "forty trillion, eight hundred sixty-seven billion, two hundred twenty-one million, four hundred three thousand, eight".