40510052352 has 1152 divisors, whose sum is σ = 163374382080. Its totient is φ = 9342812160.

The previous prime is 40510052347. The next prime is 40510052357. The reversal of 40510052352 is 25325001504.

It is a happy number.

40510052352 is a `hidden beast` number, since 40 + 51 + 0 + 0 + 523 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (40510052347) and next prime (40510052357).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40510052357) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 554932188 + ... + 554932260.

It is an arithmetic number, because the mean of its divisors is an integer number (141818040).

Almost surely, 2^40510052352 is an apocalyptic number.

40510052352 is a gapful number since it is divisible by the number (42) 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 40510052352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81687191040).

40510052352 is an abundant number, since it is smaller than the sum of its proper divisors (122864329728).

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

40510052352 is a wasteful number, since it uses less digits than its factorization.

40510052352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 40510052352 its reverse (25325001504), we get a palindrome (65835053856).

The spelling of 40510052352 in words is "forty billion, five hundred ten million, fifty-two thousand, three hundred fifty-two".