40143734400 has 576 divisors, whose sum is σ = 166132491840. Its totient is φ = 8339865600.

The previous prime is 40143734353. The next prime is 40143734401. The reversal of 40143734400 is 443734104.

It is a super-2 number, since 2×40143734400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (40143734401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8128732 + ... + 8133668.

It is an arithmetic number, because the mean of its divisors is an integer number (288424465).

Almost surely, 2^40143734400 is an apocalyptic number.

40143734400 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 40143734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83066245920).

40143734400 is an abundant number, since it is smaller than the sum of its proper divisors (125988757440).

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

40143734400 is a wasteful number, since it uses less digits than its factorization.

40143734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4993 (or 4965 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The spelling of 40143734400 in words is "forty billion, one hundred forty-three million, seven hundred thirty-four thousand, four hundred".