40094051200 has 384 divisors, whose sum is σ = 120661920000. Its totient is φ = 12850790400.

The previous prime is 40094051189. The next prime is 40094051233. The reversal of 40094051200 is 215049004.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80348551 + ... + 80349049.

It is an arithmetic number, because the mean of its divisors is an integer number (314223750).

Almost surely, 2^40094051200 is an apocalyptic number.

40094051200 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 40094051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60330960000).

40094051200 is an abundant number, since it is smaller than the sum of its proper divisors (80567868800).

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

40094051200 is a wasteful number, since it uses less digits than its factorization.

40094051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 40094051200 in words is "forty billion, ninety-four million, fifty-one thousand, two hundred".