40295499840 has 448 divisors, whose sum is σ = 151253464320. Its totient is φ = 10063872000.

The previous prime is 40295499817. The next prime is 40295499841. The reversal of 40295499840 is 4899459204.

40295499840 is a `hidden beast` number, since 4 + 0 + 2 + 9 + 549 + 98 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40295499841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36866334 + ... + 36867426.

It is an arithmetic number, because the mean of its divisors is an integer number (337619340).

Almost surely, 2^40295499840 is an apocalyptic number.

40295499840 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 40295499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75626732160).

40295499840 is an abundant number, since it is smaller than the sum of its proper divisors (110957964480).

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

40295499840 is a wasteful number, since it uses less digits than its factorization.

40295499840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 40295499840 in words is "forty billion, two hundred ninety-five million, four hundred ninety-nine thousand, eight hundred forty".