428013696942 has 256 divisors, whose sum is σ = 1099381248000. Its totient is φ = 122464742400.

The previous prime is 428013696931. The next prime is 428013696973. The reversal of 428013696942 is 249696310824.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65936317 + ... + 65942807.

It is an arithmetic number, because the mean of its divisors is an integer number (4294458000).

Almost surely, 2^428013696942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428013696942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549690624000).

428013696942 is an abundant number, since it is smaller than the sum of its proper divisors (671367551058).

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

428013696942 is a wasteful number, since it uses less digits than its factorization.

428013696942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6664 (or 6658 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 428013696942 in words is "four hundred twenty-eight billion, thirteen million, six hundred ninety-six thousand, nine hundred forty-two".