788540429040 has 1280 divisors, whose sum is σ = 3359017009152. Its totient is φ = 148206845952.

The previous prime is 788540428969. The next prime is 788540429111. The reversal of 788540429040 is 40924045887.

It is an interprime number because it is at equal distance from previous prime (788540428969) and next prime (788540429111).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 913719649 + ... + 913720511.

Almost surely, 2^788540429040 is an apocalyptic number.

788540429040 is a gapful number since it is divisible by the number (70) 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 788540429040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679508504576).

788540429040 is an abundant number, since it is smaller than the sum of its proper divisors (2570476580112).

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

788540429040 is a wasteful number, since it uses less digits than its factorization.

788540429040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

It can be divided in two parts, 788540 and 429040, that added together give a triangular number (1217580 = T₁₅₆₀).

The spelling of 788540429040 in words is "seven hundred eighty-eight billion, five hundred forty million, four hundred twenty-nine thousand, forty".