40149043200 has 864 divisors, whose sum is σ = 170784694080. Its totient is φ = 9157017600.

The previous prime is 40149043159. The next prime is 40149043213. The reversal of 40149043200 is 234094104.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×40149043200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87090970 + ... + 87091430.

It is an arithmetic number, because the mean of its divisors is an integer number (197667470).

Almost surely, 2^40149043200 is an apocalyptic number.

40149043200 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 40149043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85392347040).

40149043200 is an abundant number, since it is smaller than the sum of its proper divisors (130635650880).

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

40149043200 is an equidigital number, since it uses as much as digits as its factorization.

40149043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

It can be divided in two parts, 4014904 and 3200, that added together give a palindrome (4018104).

The spelling of 40149043200 in words is "forty billion, one hundred forty-nine million, forty-three thousand, two hundred".