40079143104 has 672 divisors, whose sum is σ = 149752092672. Its totient is φ = 9299404800.

The previous prime is 40079143103. The next prime is 40079143121. The reversal of 40079143104 is 40134197004.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40079143103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1292875569 + ... + 1292875599.

It is an arithmetic number, because the mean of its divisors is an integer number (222845376).

Almost surely, 2^40079143104 is an apocalyptic number.

40079143104 is a gapful number since it is divisible by the number (44) 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 40079143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74876046336).

40079143104 is an abundant number, since it is smaller than the sum of its proper divisors (109672949568).

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

40079143104 is a wasteful number, since it uses less digits than its factorization.

40079143104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 40079143104 in words is "forty billion, seventy-nine million, one hundred forty-three thousand, one hundred four".