40462957080 has 1280 divisors, whose sum is σ = 182659276800. Its totient is φ = 7793418240.

The previous prime is 40462956983. The next prime is 40462957091. The reversal of 40462957080 is 8075926404.

It is a happy number.

40462957080 is a `hidden beast` number, since 40 + 462 + 9 + 5 + 70 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 173660644 + ... + 173660876.

It is an arithmetic number, because the mean of its divisors is an integer number (142702560).

Almost surely, 2^40462957080 is an apocalyptic number.

40462957080 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 40462957080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91329638400).

40462957080 is an abundant number, since it is smaller than the sum of its proper divisors (142196319720).

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

40462957080 is a wasteful number, since it uses less digits than its factorization.

40462957080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 40462957080 in words is "forty billion, four hundred sixty-two million, nine hundred fifty-seven thousand, eighty".