40284953280 has 672 divisors, whose sum is σ = 168451133760. Its totient is φ = 8701378560.

The previous prime is 40284953279. The next prime is 40284953299. The reversal of 40284953280 is 8235948204.

40284953280 is a `hidden beast` number, since 4 + 0 + 284 + 95 + 3 + 280 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11941674 + ... + 11945046.

It is an arithmetic number, because the mean of its divisors is an integer number (250671330).

Almost surely, 2^40284953280 is an apocalyptic number.

40284953280 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 40284953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84225566880).

40284953280 is an abundant number, since it is smaller than the sum of its proper divisors (128166180480).

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

40284953280 is a wasteful number, since it uses less digits than its factorization.

40284953280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 40284953280 in words is "forty billion, two hundred eighty-four million, nine hundred fifty-three thousand, two hundred eighty".