40854084480 has 1024 divisors, whose sum is σ = 171320832000. Its totient is φ = 9089187840.

The previous prime is 40854084461. The next prime is 40854084521. The reversal of 40854084480 is 8448045804.

40854084480 is a `hidden beast` number, since 40 + 8 + 54 + 0 + 84 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 151873786 + ... + 151874054.

It is an arithmetic number, because the mean of its divisors is an integer number (167305500).

Almost surely, 2^40854084480 is an apocalyptic number.

40854084480 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 40854084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85660416000).

40854084480 is an abundant number, since it is smaller than the sum of its proper divisors (130466747520).

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

40854084480 is a wasteful number, since it uses less digits than its factorization.

40854084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 40854084480 in words is "forty billion, eight hundred fifty-four million, eighty-four thousand, four hundred eighty".