4040125440 has 176 divisors, whose sum is σ = 13916783328. Its totient is φ = 994443264.

The previous prime is 4040125433. The next prime is 4040125451. The reversal of 4040125440 is 445210404.

It is a happy number.

It is a super-2 number, since 2×4040125440² = 32645227141870387200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4040125440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189564 + ... + 209796.

Almost surely, 2^4040125440 is an apocalyptic number.

4040125440 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 4040125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6958391664).

4040125440 is an abundant number, since it is smaller than the sum of its proper divisors (9876657888).

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

4040125440 is a wasteful number, since it uses less digits than its factorization.

4040125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20274 (or 20256 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 4040125440 is about 63561.9810893273. The cubic root of 4040125440 is about 1592.6913321091.

Adding to 4040125440 its reverse (445210404), we get a palindrome (4485335844).

The spelling of 4040125440 in words is "four billion, forty million, one hundred twenty-five thousand, four hundred forty".