40037073340704 has 96 divisors (see below), whose sum is σ = 115703469161280. Its totient is φ = 12021139584000.

The previous prime is 40037073340633. The next prime is 40037073340709. The reversal of 40037073340704 is 40704337073004.

40037073340704 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (40037073340709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173801847 + ... + 174032054.

It is an arithmetic number, because the mean of its divisors is an integer number (1205244470430).

Almost surely, 2^{40037073340704} is an apocalyptic number.

40037073340704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40037073340704 is an abundant number, since it is smaller than the sum of its proper divisors (75666395820576).

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

40037073340704 is a wasteful number, since it uses less digits than its factorization.

40037073340704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347834034 (or 347834026 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 42.

The spelling of 40037073340704 in words is "forty trillion, thirty-seven billion, seventy-three million, three hundred forty thousand, seven hundred four".