5405401877040 has 320 divisors, whose sum is σ = 20314099814400. Its totient is φ = 1310213836800.

The previous prime is 5405401877023. The next prime is 5405401877063. The reversal of 5405401877040 is 407781045045.

5405401877040 is a `hidden beast` number, since 54 + 0 + 540 + 18 + 7 + 7 + 0 + 40 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244455585 + ... + 244477695.

It is an arithmetic number, because the mean of its divisors is an integer number (63481561920).

Almost surely, 2^{5405401877040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5405401877040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10157049907200).

5405401877040 is an abundant number, since it is smaller than the sum of its proper divisors (14908697937360).

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

5405401877040 is a wasteful number, since it uses less digits than its factorization.

5405401877040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32433 (or 32421 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 5405401877040 in words is "five trillion, four hundred five billion, four hundred one million, eight hundred seventy-seven thousand, forty".