40551355184760 has 640 divisors, whose sum is σ = 158250405024000. Its totient is φ = 9235961812224.

The previous prime is 40551355184731. The next prime is 40551355184773. The reversal of 40551355184760 is 6748155315504.

40551355184760 is a `hidden beast` number, since 4 + 0 + 5 + 5 + 1 + 3 + 551 + 84 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40551355184697 and 40551355184706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 733814011 + ... + 733869269.

It is an arithmetic number, because the mean of its divisors is an integer number (247266257850).

Almost surely, 2^{40551355184760} is an apocalyptic number.

40551355184760 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 40551355184760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79125202512000).

40551355184760 is an abundant number, since it is smaller than the sum of its proper divisors (117699049839240).

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

40551355184760 is a wasteful number, since it uses less digits than its factorization.

40551355184760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55590 (or 55559 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 40551355184760 in words is "forty trillion, five hundred fifty-one billion, three hundred fifty-five million, one hundred eighty-four thousand, seven hundred sixty".