40476230784 has 1152 divisors, whose sum is σ = 152373312000. Its totient is φ = 10218700800.

The previous prime is 40476230777. The next prime is 40476230789. The reversal of 40476230784 is 48703267404.

40476230784 is a `hidden beast` number, since 404 + 7 + 6 + 230 + 7 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (40476230789) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1305684849 + ... + 1305684879.

It is an arithmetic number, because the mean of its divisors is an integer number (132268500).

Almost surely, 2^40476230784 is an apocalyptic number.

40476230784 is a gapful number since it is divisible by the number (44) 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 40476230784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76186656000).

40476230784 is an abundant number, since it is smaller than the sum of its proper divisors (111897081216).

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

40476230784 is a wasteful number, since it uses less digits than its factorization.

40476230784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 40476230784 in words is "forty billion, four hundred seventy-six million, two hundred thirty thousand, seven hundred eighty-four".