40148765328 has 320 divisors, whose sum is σ = 127928954880. Its totient is φ = 10596096000.

The previous prime is 40148765243. The next prime is 40148765369. The reversal of 40148765328 is 82356784104.

It is a super-2 number, since 2×40148765328² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45779226 + ... + 45780102.

It is an arithmetic number, because the mean of its divisors is an integer number (399777984).

Almost surely, 2^40148765328 is an apocalyptic number.

40148765328 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 40148765328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63964477440).

40148765328 is an abundant number, since it is smaller than the sum of its proper divisors (87780189552).

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

40148765328 is a wasteful number, since it uses less digits than its factorization.

40148765328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

It can be divided in two parts, 4014876 and 5328, that added together give a palindrome (4020204).

The spelling of 40148765328 in words is "forty billion, one hundred forty-eight million, seven hundred sixty-five thousand, three hundred twenty-eight".