46428678240 has 384 divisors, whose sum is σ = 177504058368. Its totient is φ = 9958195200.

The previous prime is 46428678239. The next prime is 46428678251. The reversal of 46428678240 is 4287682464.

46428678240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46428678240² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22904107 + ... + 22906133.

It is an arithmetic number, because the mean of its divisors is an integer number (462250152).

Almost surely, 2^46428678240 is an apocalyptic number.

46428678240 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 46428678240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88752029184).

46428678240 is an abundant number, since it is smaller than the sum of its proper divisors (131075380128).

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

46428678240 is a wasteful number, since it uses less digits than its factorization.

46428678240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 51.

The spelling of 46428678240 in words is "forty-six billion, four hundred twenty-eight million, six hundred seventy-eight thousand, two hundred forty".