40554357480 has 1792 divisors, whose sum is σ = 190381363200. Its totient is φ = 7524679680.

The previous prime is 40554357479. The next prime is 40554357563. The reversal of 40554357480 is 8475345504.

40554357480 is a `hidden beast` number, since 4 + 0 + 554 + 3 + 57 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1308205065 + ... + 1308205095.

It is an arithmetic number, because the mean of its divisors is an integer number (106239600).

Almost surely, 2^40554357480 is an apocalyptic number.

40554357480 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 40554357480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95190681600).

40554357480 is an abundant number, since it is smaller than the sum of its proper divisors (149827005720).

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

40554357480 is a wasteful number, since it uses less digits than its factorization.

40554357480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 40554357480 in words is "forty billion, five hundred fifty-four million, three hundred fifty-seven thousand, four hundred eighty".