40153440424400 has 120 divisors (see below), whose sum is σ = 97359171822528. Its totient is φ = 15913497600000.

The previous prime is 40153440424399. The next prime is 40153440424403. The reversal of 40153440424400 is 442404435104.

It is a super-2 number, since 2×40153440424400² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40153440424403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32457200 + ... + 33671600.

Almost surely, 2^{40153440424400} is an apocalyptic number.

40153440424400 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 40153440424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48679585911264).

40153440424400 is an abundant number, since it is smaller than the sum of its proper divisors (57205731398128).

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

40153440424400 is a wasteful number, since it uses less digits than its factorization.

40153440424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215181 (or 1215170 counting only the distinct ones).

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

Adding to 40153440424400 its reverse (442404435104), we get a palindrome (40595844859504).

The spelling of 40153440424400 in words is "forty trillion, one hundred fifty-three billion, four hundred forty million, four hundred twenty-four thousand, four hundred".