40148816400 has 1800 divisors, whose sum is σ = 194068337760. Its totient is φ = 7903526400.

The previous prime is 40148816371. The next prime is 40148816417. The reversal of 40148816400 is 461884104.

40148816400 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 8 + 8 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×40148816400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 359 ways as a sum of consecutive naturals, for example, 2113095591 + ... + 2113095609.

Almost surely, 2^40148816400 is an apocalyptic number.

40148816400 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 40148816400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97034168880).

40148816400 is an abundant number, since it is smaller than the sum of its proper divisors (153919521360).

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

40148816400 is a wasteful number, since it uses less digits than its factorization.

40148816400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 40148816400 in words is "forty billion, one hundred forty-eight million, eight hundred sixteen thousand, four hundred".