40627142400 has 432 divisors, whose sum is σ = 145554711680. Its totient is φ = 9920102400.

The previous prime is 40627142399. The next prime is 40627142417. The reversal of 40627142400 is 424172604.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34693815 + ... + 34694985.

Almost surely, 2^40627142400 is an apocalyptic number.

40627142400 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 40627142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72777355840).

40627142400 is an abundant number, since it is smaller than the sum of its proper divisors (104927569280).

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

40627142400 is a wasteful number, since it uses less digits than its factorization.

40627142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The spelling of 40627142400 in words is "forty billion, six hundred twenty-seven million, one hundred forty-two thousand, four hundred".