400040400024 has 128 divisors (see below), whose sum is σ = 1174263264000. Its totient is φ = 125836664832.

The previous prime is 400040399981. The next prime is 400040400047. The reversal of 400040400024 is 420004040004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 865087 + ... + 1244369.

It is an arithmetic number, because the mean of its divisors is an integer number (9173931750).

Almost surely, 2^400040400024 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 400040400024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587131632000).

400040400024 is an abundant number, since it is smaller than the sum of its proper divisors (774222863976).

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

400040400024 is a wasteful number, since it uses less digits than its factorization.

400040400024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379574 (or 379564 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 400040400024 its reverse (420004040004), we get a palindrome (820044440028).

The spelling of 400040400024 in words is "four hundred billion, forty million, four hundred thousand, twenty-four".