46042698240 has 1280 divisors, whose sum is σ = 209866567680. Its totient is φ = 9289728000.

The previous prime is 46042698239. The next prime is 46042698241. The reversal of 46042698240 is 4289624064.

It is an interprime number because it is at equal distance from previous prime (46042698239) and next prime (46042698241).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×46042698240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (46042698241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 218211735 + ... + 218211945.

It is an arithmetic number, because the mean of its divisors is an integer number (163958256).

Almost surely, 2^46042698240 is an apocalyptic number.

46042698240 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 46042698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104933283840).

46042698240 is an abundant number, since it is smaller than the sum of its proper divisors (163823869440).

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

46042698240 is a wasteful number, since it uses less digits than its factorization.

46042698240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 46042698240 in words is "forty-six billion, forty-two million, six hundred ninety-eight thousand, two hundred forty".