40257423360 has 1536 divisors, whose sum is σ = 187188019200. Its totient is φ = 7962624000.

The previous prime is 40257423347. The next prime is 40257423379. The reversal of 40257423360 is 6332475204.

40257423360 is a `hidden beast` number, since 4 + 0 + 2 + 574 + 23 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 659957730 + ... + 659957790.

It is an arithmetic number, because the mean of its divisors is an integer number (121867200).

Almost surely, 2^40257423360 is an apocalyptic number.

40257423360 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 40257423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93594009600).

40257423360 is an abundant number, since it is smaller than the sum of its proper divisors (146930595840).

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

40257423360 is a wasteful number, since it uses less digits than its factorization.

40257423360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

Adding to 40257423360 its reverse (6332475204), we get a palindrome (46589898564).

The spelling of 40257423360 in words is "forty billion, two hundred fifty-seven million, four hundred twenty-three thousand, three hundred sixty".