37814999040 has 1152 divisors, whose sum is σ = 168280519680. Its totient is φ = 7930773504.

The previous prime is 37814999029. The next prime is 37814999041. The reversal of 37814999040 is 4099941873.

37814999040 is a `hidden beast` number, since 37 + 81 + 499 + 9 + 0 + 40 = 666.

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

It is a super-3 number, since 3×37814999040³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37814999041) 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, 226437037 + ... + 226437203.

It is an arithmetic number, because the mean of its divisors is an integer number (146076840).

Almost surely, 2^37814999040 is an apocalyptic number.

37814999040 is a gapful number since it is divisible by the number (30) 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 37814999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84140259840).

37814999040 is an abundant number, since it is smaller than the sum of its proper divisors (130465520640).

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

37814999040 is a wasteful number, since it uses less digits than its factorization.

37814999040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 37814999040 in words is "thirty-seven billion, eight hundred fourteen million, nine hundred ninety-nine thousand, forty".