46926397440 has 800 divisors, whose sum is σ = 191838893400. Its totient is φ = 10871635968.

The previous prime is 46926397409. The next prime is 46926397447. The reversal of 46926397440 is 4479362964.

It can be written as a sum of positive squares in 4 ways, for example, as 35693789184 + 11232608256 = 188928^2 + 105984^2 .

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

It is not an unprimeable number, because it can be changed into a prime (46926397447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2760376312 + ... + 2760376328.

Almost surely, 2^46926397440 is an apocalyptic number.

46926397440 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 46926397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95919446700).

46926397440 is an abundant number, since it is smaller than the sum of its proper divisors (144912495960).

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

46926397440 is an frugal number, since it uses more digits than its factorization.

46926397440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 46926397440 in words is "forty-six billion, nine hundred twenty-six million, three hundred ninety-seven thousand, four hundred forty".