40587901200 has 2160 divisors, whose sum is σ = 200983386240. Its totient is φ = 7664025600.

The previous prime is 40587901127. The next prime is 40587901201. The reversal of 40587901200 is 210978504.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×40587901200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40587901201) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1399582786 + ... + 1399582814.

It is an arithmetic number, because the mean of its divisors is an integer number (93047864).

Almost surely, 2^40587901200 is an apocalyptic number.

40587901200 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 40587901200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100491693120).

40587901200 is an abundant number, since it is smaller than the sum of its proper divisors (160395485040).

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

40587901200 is a wasteful number, since it uses less digits than its factorization.

40587901200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 40587901200 in words is "forty billion, five hundred eighty-seven million, nine hundred one thousand, two hundred".