4072234037040 has 120 divisors (see below), whose sum is σ = 14727913134480. Its totient is φ = 1002396068352.

The previous prime is 4072234037017. The next prime is 4072234037077. The reversal of 4072234037040 is 407304322704.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 4072234036986 and 4072234037004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217524510 + ... + 217543229.

It is an arithmetic number, because the mean of its divisors is an integer number (122732609454).

Almost surely, 2^{4072234037040} is an apocalyptic number.

4072234037040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4072234037040 is an abundant number, since it is smaller than the sum of its proper divisors (10655679097440).

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

4072234037040 is a wasteful number, since it uses less digits than its factorization.

4072234037040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435067771 (or 435067762 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

Adding to 4072234037040 its reverse (407304322704), we get a palindrome (4479538359744).

The spelling of 4072234037040 in words is "four trillion, seventy-two billion, two hundred thirty-four million, thirty-seven thousand, forty".