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40037509440 = 2634523239281
BaseRepresentation
bin100101010010011010…
…111110100101000000
310211100021122012210000
4211102122332211000
51123444100300230
630220514440000
72615111133525
oct452232764500
9124307565700
1040037509440
1115a86148485
127914593000
133a10a865b6
141d1b57314c
151094e45b60
hex9526be940

40037509440 has 560 divisors, whose sum is σ = 149765552640. Its totient is φ = 10133544960.

The previous prime is 40037509427. The next prime is 40037509451. The reversal of 40037509440 is 4490573004.

It is a super-2 number, since 2×400375094402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40037509395 and 40037509404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 142482100 + ... + 142482380.

Almost surely, 240037509440 is an apocalyptic number.

40037509440 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 40037509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74882776320).

40037509440 is an abundant number, since it is smaller than the sum of its proper divisors (109728043200).

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

40037509440 is a wasteful number, since it uses less digits than its factorization.

40037509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 40037509440 in words is "forty billion, thirty-seven million, five hundred nine thousand, four hundred forty".