40195491840 has 1440 divisors, whose sum is σ = 178949010240. Its totient is φ = 8583708672.

The previous prime is 40195491823. The next prime is 40195491841. The reversal of 40195491840 is 4819459104.

It is a happy number.

40195491840 is a `hidden beast` number, since 40 + 19 + 549 + 18 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (40195491841) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 934778859 + ... + 934778901.

It is an arithmetic number, because the mean of its divisors is an integer number (124270146).

Almost surely, 2^40195491840 is an apocalyptic number.

40195491840 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 40195491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89474505120).

40195491840 is an abundant number, since it is smaller than the sum of its proper divisors (138753518400).

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

40195491840 is a wasteful number, since it uses less digits than its factorization.

40195491840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 40195491840 in words is "forty billion, one hundred ninety-five million, four hundred ninety-one thousand, eight hundred forty".