40246577280 has 768 divisors, whose sum is σ = 174650112000. Its totient is φ = 8486166528.

The previous prime is 40246577249. The next prime is 40246577281. The reversal of 40246577280 is 8277564204.

It is a happy number.

40246577280 is a `hidden beast` number, since 40 + 2 + 465 + 7 + 72 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40246577281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25683057 + ... + 25684623.

It is an arithmetic number, because the mean of its divisors is an integer number (227409000).

Almost surely, 2^40246577280 is an apocalyptic number.

40246577280 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 40246577280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87325056000).

40246577280 is an abundant number, since it is smaller than the sum of its proper divisors (134403534720).

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

40246577280 is a wasteful number, since it uses less digits than its factorization.

40246577280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 40246577280 in words is "forty billion, two hundred forty-six million, five hundred seventy-seven thousand, two hundred eighty".