413355737088 has 608 divisors, whose sum is σ = 1430758251520. Its totient is φ = 116955021312.

The previous prime is 413355737083. The next prime is 413355737141. The reversal of 413355737088 is 880737553314.

It is a happy number.

413355737088 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 557 + 3 + 7 + 0 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (413355737083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4013162445 + ... + 4013162547.

Almost surely, 2^413355737088 is an apocalyptic number.

413355737088 is a gapful number since it is divisible by the number (48) 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 413355737088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715379125760).

413355737088 is an abundant number, since it is smaller than the sum of its proper divisors (1017402514432).

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

413355737088 is an frugal number, since it uses more digits than its factorization.

413355737088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 413355737088 in words is "four hundred thirteen billion, three hundred fifty-five million, seven hundred thirty-seven thousand, eighty-eight".