40787604480 has 704 divisors, whose sum is σ = 156958064640. Its totient is φ = 8843821056.

The previous prime is 40787604457. The next prime is 40787604503. The reversal of 40787604480 is 8440678704.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40787604457) and next prime (40787604503).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 321162177 + ... + 321162303.

Almost surely, 2^40787604480 is an apocalyptic number.

40787604480 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 40787604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78479032320).

40787604480 is an abundant number, since it is smaller than the sum of its proper divisors (116170460160).

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

40787604480 is a wasteful number, since it uses less digits than its factorization.

40787604480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The spelling of 40787604480 in words is "forty billion, seven hundred eighty-seven million, six hundred four thousand, four hundred eighty".