413755403040 has 576 divisors, whose sum is σ = 1798505130240. Its totient is φ = 84324188160.

The previous prime is 413755402979. The next prime is 413755403041. The reversal of 413755403040 is 40304557314.

413755403040 is a `hidden beast` number, since 4 + 1 + 3 + 75 + 540 + 3 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 413755402986 and 413755403004.

It is not an unprimeable number, because it can be changed into a prime (413755403041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3192300 + ... + 3319380.

It is an arithmetic number, because the mean of its divisors is an integer number (3122404740).

Almost surely, 2^413755403040 is an apocalyptic number.

413755403040 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 413755403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899252565120).

413755403040 is an abundant number, since it is smaller than the sum of its proper divisors (1384749727200).

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

413755403040 is a wasteful number, since it uses less digits than its factorization.

413755403040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127145 (or 127134 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 413755403040 in words is "four hundred thirteen billion, seven hundred fifty-five million, four hundred three thousand, forty".