10431400400440 has 128 divisors (see below), whose sum is σ = 24162424597440. Its totient is φ = 4051329458176.

The previous prime is 10431400400413. The next prime is 10431400400507. The reversal of 10431400400440 is 4400400413401.

It is a happy number.

It is a super-2 number, since 2×10431400400440² (a number of 27 digits) contains 22 as substring.

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, 156399339 + ... + 156466021.

Almost surely, 2^{10431400400440} is an apocalyptic number.

10431400400440 is a gapful number since it is divisible by the number (10) 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 10431400400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12081212298720).

10431400400440 is an abundant number, since it is smaller than the sum of its proper divisors (13731024197000).

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

10431400400440 is a wasteful number, since it uses less digits than its factorization.

10431400400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67513 (or 67509 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 10431400400440 its reverse (4400400413401), we get a palindrome (14831800813841).

The spelling of 10431400400440 in words is "ten trillion, four hundred thirty-one billion, four hundred million, four hundred thousand, four hundred forty".