40093248000 has 320 divisors, whose sum is σ = 143562811392. Its totient is φ = 9868492800.

The previous prime is 40093247983. The next prime is 40093248007. The reversal of 40093248000 is 84239004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (40093248007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2487969 + ... + 2504031.

Almost surely, 2^40093248000 is an apocalyptic number.

40093248000 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 40093248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71781405696).

40093248000 is an abundant number, since it is smaller than the sum of its proper divisors (103469563392).

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

40093248000 is a wasteful number, since it uses less digits than its factorization.

40093248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16112 (or 16086 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 40093248000 in words is "forty billion, ninety-three million, two hundred forty-eight thousand".