40499741173248 has 1680 divisors, whose sum is σ = 145323255624096. Its totient is φ = 11035480227840.

The previous prime is 40499741173247. The next prime is 40499741173289. The reversal of 40499741173248 is 84237114799404.

40499741173248 is a `hidden beast` number, since 4 + 0 + 49 + 97 + 411 + 73 + 24 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40499741173247) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 554790974940 + ... + 554790975012.

Almost surely, 2^{40499741173248} is an apocalyptic number.

40499741173248 is a gapful number since it is divisible by the number (48) 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 40499741173248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72661627812048).

40499741173248 is an abundant number, since it is smaller than the sum of its proper divisors (104823514450848).

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

40499741173248 is an frugal number, since it uses more digits than its factorization.

40499741173248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 40499741173248 in words is "forty trillion, four hundred ninety-nine billion, seven hundred forty-one million, one hundred seventy-three thousand, two hundred forty-eight".