413043153201000 has 512 divisors, whose sum is σ = 1640518828416000. Its totient is φ = 94174410240000.

The previous prime is 413043153200987. The next prime is 413043153201023. The reversal of 413043153201000 is 102351340314.

It is a happy number.

413043153201000 is a `hidden beast` number, since 4 + 1 + 304 + 3 + 153 + 201 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 73064046 + ... + 78513954.

It is an arithmetic number, because the mean of its divisors is an integer number (3204138336750).

Almost surely, 2^{413043153201000} is an apocalyptic number.

413043153201000 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 413043153201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820259414208000).

413043153201000 is an abundant number, since it is smaller than the sum of its proper divisors (1227475675215000).

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

413043153201000 is a wasteful number, since it uses less digits than its factorization.

413043153201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5450347 (or 5450327 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 413043153201000 in words is "four hundred thirteen trillion, forty-three billion, one hundred fifty-three million, two hundred one thousand".