428838157440 has 2048 divisors, whose sum is σ = 2011856486400. Its totient is φ = 84742225920.

The previous prime is 428838157421. The next prime is 428838157519. The reversal of 428838157440 is 44751838824.

428838157440 is a `hidden beast` number, since 4 + 28 + 8 + 3 + 8 + 1 + 574 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2478833194 + ... + 2478833366.

It is an arithmetic number, because the mean of its divisors is an integer number (982351800).

Almost surely, 2^428838157440 is an apocalyptic number.

428838157440 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 428838157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005928243200).

428838157440 is an abundant number, since it is smaller than the sum of its proper divisors (1583018328960).

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

428838157440 is a wasteful number, since it uses less digits than its factorization.

428838157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 428838157440 in words is "four hundred twenty-eight billion, eight hundred thirty-eight million, one hundred fifty-seven thousand, four hundred forty".