400102641 has 24 divisors (see below), whose sum is σ = 617774976. Its totient is φ = 248909760.

The previous prime is 400102621. The next prime is 400102663. The reversal of 400102641 is 146201004.

400102641 is a `hidden beast` number, since 400 + 1 + 0 + 264 + 1 = 666.

It is not a de Polignac number, because 400102641 - 2¹⁰ = 400101617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400102601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15085 + ... + 32058.

It is an arithmetic number, because the mean of its divisors is an integer number (25740624).

Almost surely, 2^400102641 is an apocalyptic number.

400102641 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

400102641 is a deficient number, since it is larger than the sum of its proper divisors (217672335).

400102641 is a wasteful number, since it uses less digits than its factorization.

400102641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47213 (or 47210 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 400102641 is about 20002.5658604090. The cubic root of 400102641 is about 736.8693164511.

Adding to 400102641 its reverse (146201004), we get a palindrome (546303645).

It can be divided in two parts, 400 and 102641, that added together give a square (103041 = 321²).

The spelling of 400102641 in words is "four hundred million, one hundred two thousand, six hundred forty-one".