4029288157440 has 3240 divisors, whose sum is σ = 19174953049560. Its totient is φ = 805391548416.

The previous prime is 4029288157439. The next prime is 4029288157523. The reversal of 4029288157440 is 447518829204.

4029288157440 is a `hidden beast` number, since 4 + 0 + 2 + 9 + 28 + 8 + 1 + 574 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1502409129984 + 2526879027456 = 1225728^2 + 1589616^2 .

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 212067797751 + ... + 212067797769.

Almost surely, 2^{4029288157440} is an apocalyptic number.

4029288157440 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 4029288157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9587476524780).

4029288157440 is an abundant number, since it is smaller than the sum of its proper divisors (15145664892120).

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

4029288157440 is an equidigital number, since it uses as much as digits as its factorization.

4029288157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 4029288157440 in words is "four trillion, twenty-nine billion, two hundred eighty-eight million, one hundred fifty-seven thousand, four hundred forty".