4001004625640 has 64 divisors (see below), whose sum is σ = 9832757901120. Its totient is φ = 1453116672000.

The previous prime is 4001004625613. The next prime is 4001004625649. The reversal of 4001004625640 is 465264001004.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4001004625597 and 4001004625606.

It is not an unprimeable number, because it can be changed into a prime (4001004625649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5249321 + ... + 5963000.

It is an arithmetic number, because the mean of its divisors is an integer number (153636842205).

Almost surely, 2^{4001004625640} is an apocalyptic number.

4001004625640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001004625640 is an abundant number, since it is smaller than the sum of its proper divisors (5831753275480).

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

4001004625640 is a wasteful number, since it uses less digits than its factorization.

4001004625640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11213154 (or 11213150 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 4001004625640 its reverse (465264001004), we get a palindrome (4466268626644).

The spelling of 4001004625640 in words is "four trillion, one billion, four million, six hundred twenty-five thousand, six hundred forty".