40434422512400 has 240 divisors, whose sum is σ = 112618742843904. Its totient is φ = 13664025354240.

The previous prime is 40434422512333. The next prime is 40434422512403. The reversal of 40434422512400 is 421522443404.

It is a super-2 number, since 2×40434422512400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (40434422512403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303876284 + ... + 304009316.

Almost surely, 2^{40434422512400} is an apocalyptic number.

40434422512400 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 40434422512400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56309371421952).

40434422512400 is an abundant number, since it is smaller than the sum of its proper divisors (72184320331504).

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

40434422512400 is a wasteful number, since it uses less digits than its factorization.

40434422512400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134618 (or 134607 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

Adding to 40434422512400 its reverse (421522443404), we get a palindrome (40855944955804).

The spelling of 40434422512400 in words is "forty trillion, four hundred thirty-four billion, four hundred twenty-two million, five hundred twelve thousand, four hundred".