40152643050 has 192 divisors, whose sum is σ = 112522798080. Its totient is φ = 9407232000.

The previous prime is 40152643049. The next prime is 40152643051. The reversal of 40152643050 is 5034625104.

40152643050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40152643049) and next prime (40152643051).

It is a super-2 number, since 2×40152643050² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40152642999 and 40152643017.

It is not an unprimeable number, because it can be changed into a prime (40152643051) 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, 3682006 + ... + 3692894.

It is an arithmetic number, because the mean of its divisors is an integer number (586056240).

Almost surely, 2^40152643050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40152643050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56261399040).

40152643050 is an abundant number, since it is smaller than the sum of its proper divisors (72370155030).

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

40152643050 is a wasteful number, since it uses less digits than its factorization.

40152643050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11009 (or 11004 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 40152643050 in words is "forty billion, one hundred fifty-two million, six hundred forty-three thousand, fifty".