40873620480 has 528 divisors, whose sum is σ = 165934339776. Its totient is φ = 8491499520.

The previous prime is 40873620461. The next prime is 40873620517. The reversal of 40873620480 is 8402637804.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×40873620480² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8276572 + ... + 8281508.

Almost surely, 2^40873620480 is an apocalyptic number.

40873620480 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 40873620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82967169888).

40873620480 is an abundant number, since it is smaller than the sum of its proper divisors (125060719296).

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

40873620480 is a wasteful number, since it uses less digits than its factorization.

40873620480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4965 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 40873620480 in words is "forty billion, eight hundred seventy-three million, six hundred twenty thousand, four hundred eighty".