435400010400 has 144 divisors (see below), whose sum is σ = 1419940930464. Its totient is φ = 115884334080.

The previous prime is 435400010351. The next prime is 435400010443. The reversal of 435400010400 is 4010004534.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1081762 + ... + 1428638.

It is an arithmetic number, because the mean of its divisors is an integer number (9860700906).

Almost surely, 2^435400010400 is an apocalyptic number.

435400010400 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 435400010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709970465232).

435400010400 is an abundant number, since it is smaller than the sum of its proper divisors (984540920064).

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

435400010400 is a wasteful number, since it uses less digits than its factorization.

435400010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347423 (or 347410 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 435400010400 its reverse (4010004534), we get a palindrome (439410014934).

The spelling of 435400010400 in words is "four hundred thirty-five billion, four hundred million, ten thousand, four hundred".