40073868804480 has 512 divisors, whose sum is σ = 149560019481600. Its totient is φ = 8937235906560.

The previous prime is 40073868804461. The next prime is 40073868804511. The reversal of 40073868804480 is 8440886837004.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 128774511 + ... + 129085329.

It is an arithmetic number, because the mean of its divisors is an integer number (292109413050).

Almost surely, 2^{40073868804480} is an apocalyptic number.

40073868804480 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 40073868804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74780009740800).

40073868804480 is an abundant number, since it is smaller than the sum of its proper divisors (109486150677120).

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

40073868804480 is a wasteful number, since it uses less digits than its factorization.

40073868804480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311082 (or 311070 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 60.

The spelling of 40073868804480 in words is "forty trillion, seventy-three billion, eight hundred sixty-eight million, eight hundred four thousand, four hundred eighty".