400342311023100 has 144 divisors (see below), whose sum is σ = 1160993879136000. Its totient is φ = 106511929873920.

The previous prime is 400342311023059. The next prime is 400342311023143. The reversal of 400342311023100 is 1320113243004.

It is a happy number.

It is a super-2 number, since 2×400342311023100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 868249416 + ... + 868710384.

It is an arithmetic number, because the mean of its divisors is an integer number (8062457494000).

Almost surely, 2^{400342311023100} 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 400342311023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580496939568000).

400342311023100 is an abundant number, since it is smaller than the sum of its proper divisors (760651568112900).

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

400342311023100 is a wasteful number, since it uses less digits than its factorization.

400342311023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467652 (or 467645 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 400342311023100 its reverse (1320113243004), we get a palindrome (401662424266104).

The spelling of 400342311023100 in words is "four hundred trillion, three hundred forty-two billion, three hundred eleven million, twenty-three thousand, one hundred".